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<br> <h1> Link to the source code for this example: </h1>
<a href="https://github.com/libMesh/libmesh/tree/master/examples/introduction/introduction_ex4" target="_blank">Open introduction_ex4 in new tab.</a>
<a name="output"></a> 
<br><br><br> <h1> The console output of the program: </h1> 
<pre>
***************************************************************
* Running Example introduction_ex4:
*   example-opt -d 1 -n 20 
***************************************************************
 
Running /Users/petejw/projects/libmesh_git/build/examples/introduction/introduction_ex4/.libs/example-opt -d 1 -n 20

 Mesh Information:
  elem_dimensions()={1}
  spatial_dimension()=1
  n_nodes()=41
    n_local_nodes()=41
  n_elem()=20
    n_local_elem()=20
    n_active_elem()=20
  n_subdomains()=1
  n_partitions()=1
  n_processors()=1
  n_threads()=1
  processor_id()=0

 EquationSystems
  n_systems()=1
   System #0, "Poisson"
    Type "LinearImplicit"
    Variables="u" 
    Finite Element Types="LAGRANGE", "JACOBI_20_00" 
    Infinite Element Mapping="CARTESIAN" 
    Approximation Orders="SECOND", "THIRD" 
    n_dofs()=41
    n_local_dofs()=41
    n_constrained_dofs()=2
    n_local_constrained_dofs()=2
    n_vectors()=1
    n_matrices()=1
    DofMap Sparsity
      Average  On-Processor Bandwidth <= 3.92683
      Average Off-Processor Bandwidth <= 0
      Maximum  On-Processor Bandwidth <= 5
      Maximum Off-Processor Bandwidth <= 0
    DofMap Constraints
      Number of DoF Constraints = 2
      Average DoF Constraint Length= 0

 Mesh Information:
  elem_dimensions()={1}
  spatial_dimension()=1
  n_nodes()=41
    n_local_nodes()=41
  n_elem()=20
    n_local_elem()=20
    n_active_elem()=20
  n_subdomains()=1
  n_partitions()=1
  n_processors()=1
  n_threads()=1
  processor_id()=0


 -------------------------------------------------------------------------------------------------------------------
| Time:           Wed Apr 13 09:51:24 2016                                                                          |
| OS:             Darwin                                                                                            |
| HostName:       peterson-laptop.local                                                                             |
| OS Release:     15.0.0                                                                                            |
| OS Version:     Darwin Kernel Version 15.0.0: Sat Sep 19 15:53:46 PDT 2015; root:xnu-3247.10.11~1/RELEASE_X86_64  |
| Machine:        x86_64                                                                                            |
| Username:       petejw                                                                                            |
| Configuration:  ../configure  'INSTALL=/usr/bin/install -C'                                                       |
|  '--with-methods=opt dbg'                                                                                         |
|  '--prefix=/Users/petejw/projects/libmesh_git/installed'                                                          |
|  '--enable-perflog'                                                                                               |
|  '--enable-tracefiles'                                                                                            |
|  '--disable-blocked-storage'                                                                                      |
|  '--enable-default-comm-world'                                                                                    |
|  '--enable-tecio'                                                                                                 |
|  '--enable-unique-ptr'                                                                                            |
|  '--enable-ifem'                                                                                                  |
|  'PETSC_DIR=/opt/moose/petsc/mpich_petsc-3.6.1/clang-opt-superlu'                                                 |
|  'SLEPC_DIR=/opt/petejw/slepc/3.6.1'                                                                              |
|  'CPPFLAGS= '                                                                                                     |
|  'LIBS= '                                                                                                         |
|  'CPPFLAGS=  '                                                                                                    |
|  'LIBS=  '                                                                                                        |
|  '--disable-netcdf-4'                                                                                             |
|  '--disable-testsets'                                                                                             |
|  'CXX=mpicxx'                                                                                                     |
|  'CC=mpicc'                                                                                                       |
|  'F77=mpif77'                                                                                                     |
|  'FC=mpif90'                                                                                                      |
|  'CPPFLAGS=   '                                                                                                   |
|  'LIBS=   '                                                                                                       |
 -------------------------------------------------------------------------------------------------------------------
 ------------------------------------------------------------------------------------------------------------
| Matrix Assembly Performance: Alive time=0.000655, Active time=0.000101                                     |
 ------------------------------------------------------------------------------------------------------------
| Event                         nCalls     Total Time  Avg Time    Total Time  Avg Time    % of Active Time  |
|                                          w/o Sub     w/o Sub     With Sub    With Sub    w/o S    With S   |
|------------------------------------------------------------------------------------------------------------|
|                                                                                                            |
| Fe                            20         0.0000      0.000001    0.0000      0.000001    11.88    11.88    |
| Ke                            20         0.0000      0.000000    0.0000      0.000000    3.96     3.96     |
| elem init                     20         0.0001      0.000004    0.0001      0.000004    72.28    72.28    |
| matrix insertion              20         0.0000      0.000001    0.0000      0.000001    11.88    11.88    |
 ------------------------------------------------------------------------------------------------------------
| Totals:                       80         0.0001                                          100.00            |
 ------------------------------------------------------------------------------------------------------------

 ---------------------------------------------------------------------------------------------------------------------
| libMesh Performance: Alive time=0.009218, Active time=0.001618                                                      |
 ---------------------------------------------------------------------------------------------------------------------
| Event                                  nCalls     Total Time  Avg Time    Total Time  Avg Time    % of Active Time  |
|                                                   w/o Sub     w/o Sub     With Sub    With Sub    w/o S    With S   |
|---------------------------------------------------------------------------------------------------------------------|
|                                                                                                                     |
|                                                                                                                     |
| DofMap                                                                                                              |
|   add_neighbors_to_send_list()         1          0.0000      0.000014    0.0000      0.000014    0.87     0.87     |
|   build_constraint_matrix_and_vector() 20         0.0000      0.000000    0.0000      0.000000    0.25     0.25     |
|   build_sparsity()                     1          0.0000      0.000049    0.0001      0.000051    3.03     3.15     |
|   create_dof_constraints()             1          0.0001      0.000076    0.0001      0.000082    4.70     5.07     |
|   distribute_dofs()                    1          0.0000      0.000036    0.0001      0.000087    2.22     5.38     |
|   dof_indices()                        80         0.0000      0.000000    0.0000      0.000000    1.11     1.11     |
|   hetero_cnstrn_elem_mat_vec()         20         0.0000      0.000001    0.0000      0.000001    1.55     1.55     |
|   prepare_send_list()                  2          0.0000      0.000000    0.0000      0.000000    0.00     0.00     |
|   reinit()                             1          0.0001      0.000051    0.0001      0.000051    3.15     3.15     |
|                                                                                                                     |
| EquationSystems                                                                                                     |
|   build_solution_vector()              1          0.0001      0.000059    0.0001      0.000066    3.65     4.08     |
|                                                                                                                     |
| FE                                                                                                                  |
|   compute_shape_functions()            20         0.0000      0.000001    0.0000      0.000001    0.62     0.62     |
|   init_shape_functions()               1          0.0000      0.000007    0.0000      0.000007    0.43     0.43     |
|                                                                                                                     |
| FEMap                                                                                                               |
|   compute_affine_map()                 20         0.0000      0.000000    0.0000      0.000000    0.43     0.43     |
|   init_reference_to_physical_map()     1          0.0000      0.000006    0.0000      0.000006    0.37     0.37     |
|                                                                                                                     |
| GnuPlotIO                                                                                                           |
|   write_nodal_data()                   1          0.0002      0.000236    0.0002      0.000236    14.59    14.59    |
|                                                                                                                     |
| Mesh                                                                                                                |
|   find_neighbors()                     1          0.0001      0.000058    0.0001      0.000058    3.58     3.58     |
|   renumber_nodes_and_elem()            2          0.0000      0.000001    0.0000      0.000001    0.12     0.12     |
|                                                                                                                     |
| MeshOutput                                                                                                          |
|   write_equation_systems()             1          0.0000      0.000013    0.0003      0.000315    0.80     19.47    |
|                                                                                                                     |
| MeshTools::Generation                                                                                               |
|   build_cube()                         1          0.0000      0.000038    0.0000      0.000038    2.35     2.35     |
|                                                                                                                     |
| Parallel                                                                                                            |
|   allgather()                          1          0.0000      0.000000    0.0000      0.000000    0.00     0.00     |
|                                                                                                                     |
| Partitioner                                                                                                         |
|   single_partition()                   1          0.0000      0.000004    0.0000      0.000004    0.25     0.25     |
|                                                                                                                     |
| PetscLinearSolver                                                                                                   |
|   solve()                              1          0.0003      0.000265    0.0003      0.000265    16.38    16.38    |
|                                                                                                                     |
| System                                                                                                              |
|   assemble()                           1          0.0006      0.000640    0.0007      0.000715    39.56    44.19    |
 ---------------------------------------------------------------------------------------------------------------------
| Totals:                                180        0.0016                                          100.00            |
 ---------------------------------------------------------------------------------------------------------------------

 
***************************************************************
* Done Running Example introduction_ex4:
*   example-opt -d 1 -n 20 
***************************************************************
***************************************************************
* Running Example introduction_ex4:
*   example-opt -d 2 -n 15 
***************************************************************
 
Running /Users/petejw/projects/libmesh_git/build/examples/introduction/introduction_ex4/.libs/example-opt -d 2 -n 15

 Mesh Information:
  elem_dimensions()={2}
  spatial_dimension()=2
  n_nodes()=961
    n_local_nodes()=961
  n_elem()=225
    n_local_elem()=225
    n_active_elem()=225
  n_subdomains()=1
  n_partitions()=1
  n_processors()=1
  n_threads()=1
  processor_id()=0

 EquationSystems
  n_systems()=1
   System #0, "Poisson"
    Type "LinearImplicit"
    Variables="u" 
    Finite Element Types="LAGRANGE", "JACOBI_20_00" 
    Infinite Element Mapping="CARTESIAN" 
    Approximation Orders="SECOND", "THIRD" 
    n_dofs()=961
    n_local_dofs()=961
    n_constrained_dofs()=120
    n_local_constrained_dofs()=120
    n_vectors()=1
    n_matrices()=1
    DofMap Sparsity
      Average  On-Processor Bandwidth <= 15.2352
      Average Off-Processor Bandwidth <= 0
      Maximum  On-Processor Bandwidth <= 25
      Maximum Off-Processor Bandwidth <= 0
    DofMap Constraints
      Number of DoF Constraints = 120
      Number of Heterogenous Constraints= 118
      Average DoF Constraint Length= 0

 Mesh Information:
  elem_dimensions()={2}
  spatial_dimension()=2
  n_nodes()=961
    n_local_nodes()=961
  n_elem()=225
    n_local_elem()=225
    n_active_elem()=225
  n_subdomains()=1
  n_partitions()=1
  n_processors()=1
  n_threads()=1
  processor_id()=0


 -------------------------------------------------------------------------------------------------------------------
| Time:           Wed Apr 13 09:51:24 2016                                                                          |
| OS:             Darwin                                                                                            |
| HostName:       peterson-laptop.local                                                                             |
| OS Release:     15.0.0                                                                                            |
| OS Version:     Darwin Kernel Version 15.0.0: Sat Sep 19 15:53:46 PDT 2015; root:xnu-3247.10.11~1/RELEASE_X86_64  |
| Machine:        x86_64                                                                                            |
| Username:       petejw                                                                                            |
| Configuration:  ../configure  'INSTALL=/usr/bin/install -C'                                                       |
|  '--with-methods=opt dbg'                                                                                         |
|  '--prefix=/Users/petejw/projects/libmesh_git/installed'                                                          |
|  '--enable-perflog'                                                                                               |
|  '--enable-tracefiles'                                                                                            |
|  '--disable-blocked-storage'                                                                                      |
|  '--enable-default-comm-world'                                                                                    |
|  '--enable-tecio'                                                                                                 |
|  '--enable-unique-ptr'                                                                                            |
|  '--enable-ifem'                                                                                                  |
|  'PETSC_DIR=/opt/moose/petsc/mpich_petsc-3.6.1/clang-opt-superlu'                                                 |
|  'SLEPC_DIR=/opt/petejw/slepc/3.6.1'                                                                              |
|  'CPPFLAGS= '                                                                                                     |
|  'LIBS= '                                                                                                         |
|  'CPPFLAGS=  '                                                                                                    |
|  'LIBS=  '                                                                                                        |
|  '--disable-netcdf-4'                                                                                             |
|  '--disable-testsets'                                                                                             |
|  'CXX=mpicxx'                                                                                                     |
|  'CC=mpicc'                                                                                                       |
|  'F77=mpif77'                                                                                                     |
|  'FC=mpif90'                                                                                                      |
|  'CPPFLAGS=   '                                                                                                   |
|  'LIBS=   '                                                                                                       |
 -------------------------------------------------------------------------------------------------------------------
 ------------------------------------------------------------------------------------------------------------
| Matrix Assembly Performance: Alive time=0.003831, Active time=0.002201                                     |
 ------------------------------------------------------------------------------------------------------------
| Event                         nCalls     Total Time  Avg Time    Total Time  Avg Time    % of Active Time  |
|                                          w/o Sub     w/o Sub     With Sub    With Sub    w/o S    With S   |
|------------------------------------------------------------------------------------------------------------|
|                                                                                                            |
| Fe                            225        0.0005      0.000002    0.0005      0.000002    22.67    22.67    |
| Ke                            225        0.0003      0.000002    0.0003      0.000002    15.40    15.40    |
| elem init                     225        0.0011      0.000005    0.0011      0.000005    49.25    49.25    |
| matrix insertion              225        0.0003      0.000001    0.0003      0.000001    12.68    12.68    |
 ------------------------------------------------------------------------------------------------------------
| Totals:                       900        0.0022                                          100.00            |
 ------------------------------------------------------------------------------------------------------------

 ---------------------------------------------------------------------------------------------------------------------
| libMesh Performance: Alive time=0.017531, Active time=0.011637                                                      |
 ---------------------------------------------------------------------------------------------------------------------
| Event                                  nCalls     Total Time  Avg Time    Total Time  Avg Time    % of Active Time  |
|                                                   w/o Sub     w/o Sub     With Sub    With Sub    w/o S    With S   |
|---------------------------------------------------------------------------------------------------------------------|
|                                                                                                                     |
|                                                                                                                     |
| DofMap                                                                                                              |
|   add_neighbors_to_send_list()         1          0.0001      0.000062    0.0001      0.000062    0.53     0.53     |
|   build_constraint_matrix_and_vector() 225        0.0001      0.000001    0.0001      0.000001    1.25     1.25     |
|   build_sparsity()                     1          0.0005      0.000540    0.0006      0.000615    4.64     5.28     |
|   create_dof_constraints()             1          0.0006      0.000583    0.0011      0.001125    5.01     9.67     |
|   distribute_dofs()                    1          0.0001      0.000092    0.0005      0.000465    0.79     4.00     |
|   dof_indices()                        900        0.0002      0.000000    0.0002      0.000000    1.99     1.99     |
|   hetero_cnstrn_elem_mat_vec()         225        0.0002      0.000001    0.0002      0.000001    1.57     1.57     |
|   prepare_send_list()                  2          0.0000      0.000000    0.0000      0.000000    0.01     0.01     |
|   reinit()                             1          0.0004      0.000373    0.0004      0.000373    3.21     3.21     |
|                                                                                                                     |
| EquationSystems                                                                                                     |
|   build_solution_vector()              1          0.0002      0.000246    0.0003      0.000327    2.11     2.81     |
|                                                                                                                     |
| ExodusII_IO                                                                                                         |
|   write_nodal_data()                   1          0.0014      0.001370    0.0014      0.001370    11.77    11.77    |
|                                                                                                                     |
| FE                                                                                                                  |
|   compute_shape_functions()            285        0.0005      0.000002    0.0005      0.000002    4.65     4.65     |
|   init_shape_functions()               61         0.0000      0.000000    0.0000      0.000000    0.17     0.17     |
|   inverse_map()                        180        0.0001      0.000001    0.0001      0.000001    1.09     1.09     |
|                                                                                                                     |
| FEMap                                                                                                               |
|   compute_affine_map()                 285        0.0002      0.000001    0.0002      0.000001    2.00     2.00     |
|   compute_face_map()                   60         0.0001      0.000001    0.0002      0.000004    0.70     1.89     |
|   init_face_shape_functions()          60         0.0000      0.000000    0.0000      0.000000    0.18     0.18     |
|   init_reference_to_physical_map()     61         0.0001      0.000002    0.0001      0.000002    1.13     1.13     |
|                                                                                                                     |
| Mesh                                                                                                                |
|   find_neighbors()                     1          0.0004      0.000370    0.0004      0.000370    3.18     3.18     |
|   renumber_nodes_and_elem()            2          0.0000      0.000008    0.0000      0.000008    0.15     0.15     |
|                                                                                                                     |
| MeshOutput                                                                                                          |
|   write_equation_systems()             1          0.0000      0.000021    0.0017      0.001719    0.18     14.77    |
|                                                                                                                     |
| MeshTools::Generation                                                                                               |
|   build_cube()                         1          0.0002      0.000179    0.0002      0.000179    1.54     1.54     |
|                                                                                                                     |
| Parallel                                                                                                            |
|   allgather()                          1          0.0000      0.000000    0.0000      0.000000    0.00     0.00     |
|                                                                                                                     |
| Partitioner                                                                                                         |
|   single_partition()                   1          0.0000      0.000016    0.0000      0.000016    0.14     0.14     |
|                                                                                                                     |
| PetscLinearSolver                                                                                                   |
|   solve()                              1          0.0033      0.003337    0.0033      0.003337    28.68    28.68    |
|                                                                                                                     |
| System                                                                                                              |
|   assemble()                           1          0.0027      0.002715    0.0039      0.003937    23.33    33.83    |
 ---------------------------------------------------------------------------------------------------------------------
| Totals:                                2360       0.0116                                          100.00            |
 ---------------------------------------------------------------------------------------------------------------------

 
***************************************************************
* Done Running Example introduction_ex4:
*   example-opt -d 2 -n 15 
***************************************************************
***************************************************************
* Running Example introduction_ex4:
*   example-opt -d 3 -n 6 
***************************************************************
 
Running /Users/petejw/projects/libmesh_git/build/examples/introduction/introduction_ex4/.libs/example-opt -d 3 -n 6

 Mesh Information:
  elem_dimensions()={3}
  spatial_dimension()=3
  n_nodes()=2197
    n_local_nodes()=2197
  n_elem()=216
    n_local_elem()=216
    n_active_elem()=216
  n_subdomains()=1
  n_partitions()=1
  n_processors()=1
  n_threads()=1
  processor_id()=0

 EquationSystems
  n_systems()=1
   System #0, "Poisson"
    Type "LinearImplicit"
    Variables="u" 
    Finite Element Types="LAGRANGE", "JACOBI_20_00" 
    Infinite Element Mapping="CARTESIAN" 
    Approximation Orders="SECOND", "THIRD" 
    n_dofs()=2197
    n_local_dofs()=2197
    n_constrained_dofs()=866
    n_local_constrained_dofs()=866
    n_vectors()=1
    n_matrices()=1
    DofMap Sparsity
      Average  On-Processor Bandwidth <= 53.5498
      Average Off-Processor Bandwidth <= 0
      Maximum  On-Processor Bandwidth <= 125
      Maximum Off-Processor Bandwidth <= 0
    DofMap Constraints
      Number of DoF Constraints = 866
      Number of Heterogenous Constraints= 818
      Average DoF Constraint Length= 0

 Mesh Information:
  elem_dimensions()={3}
  spatial_dimension()=3
  n_nodes()=2197
    n_local_nodes()=2197
  n_elem()=216
    n_local_elem()=216
    n_active_elem()=216
  n_subdomains()=1
  n_partitions()=1
  n_processors()=1
  n_threads()=1
  processor_id()=0


 -------------------------------------------------------------------------------------------------------------------
| Time:           Wed Apr 13 09:51:24 2016                                                                          |
| OS:             Darwin                                                                                            |
| HostName:       peterson-laptop.local                                                                             |
| OS Release:     15.0.0                                                                                            |
| OS Version:     Darwin Kernel Version 15.0.0: Sat Sep 19 15:53:46 PDT 2015; root:xnu-3247.10.11~1/RELEASE_X86_64  |
| Machine:        x86_64                                                                                            |
| Username:       petejw                                                                                            |
| Configuration:  ../configure  'INSTALL=/usr/bin/install -C'                                                       |
|  '--with-methods=opt dbg'                                                                                         |
|  '--prefix=/Users/petejw/projects/libmesh_git/installed'                                                          |
|  '--enable-perflog'                                                                                               |
|  '--enable-tracefiles'                                                                                            |
|  '--disable-blocked-storage'                                                                                      |
|  '--enable-default-comm-world'                                                                                    |
|  '--enable-tecio'                                                                                                 |
|  '--enable-unique-ptr'                                                                                            |
|  '--enable-ifem'                                                                                                  |
|  'PETSC_DIR=/opt/moose/petsc/mpich_petsc-3.6.1/clang-opt-superlu'                                                 |
|  'SLEPC_DIR=/opt/petejw/slepc/3.6.1'                                                                              |
|  'CPPFLAGS= '                                                                                                     |
|  'LIBS= '                                                                                                         |
|  'CPPFLAGS=  '                                                                                                    |
|  'LIBS=  '                                                                                                        |
|  '--disable-netcdf-4'                                                                                             |
|  '--disable-testsets'                                                                                             |
|  'CXX=mpicxx'                                                                                                     |
|  'CC=mpicc'                                                                                                       |
|  'F77=mpif77'                                                                                                     |
|  'FC=mpif90'                                                                                                      |
|  'CPPFLAGS=   '                                                                                                   |
|  'LIBS=   '                                                                                                       |
 -------------------------------------------------------------------------------------------------------------------
 ------------------------------------------------------------------------------------------------------------
| Matrix Assembly Performance: Alive time=0.021352, Active time=0.016841                                     |
 ------------------------------------------------------------------------------------------------------------
| Event                         nCalls     Total Time  Avg Time    Total Time  Avg Time    % of Active Time  |
|                                          w/o Sub     w/o Sub     With Sub    With Sub    w/o S    With S   |
|------------------------------------------------------------------------------------------------------------|
|                                                                                                            |
| Fe                            216        0.0017      0.000008    0.0017      0.000008    10.14    10.14    |
| Ke                            216        0.0069      0.000032    0.0069      0.000032    40.71    40.71    |
| elem init                     216        0.0056      0.000026    0.0056      0.000026    33.54    33.54    |
| matrix insertion              216        0.0026      0.000012    0.0026      0.000012    15.61    15.61    |
 ------------------------------------------------------------------------------------------------------------
| Totals:                       864        0.0168                                          100.00            |
 ------------------------------------------------------------------------------------------------------------

 ---------------------------------------------------------------------------------------------------------------------
| libMesh Performance: Alive time=0.078802, Active time=0.071735                                                      |
 ---------------------------------------------------------------------------------------------------------------------
| Event                                  nCalls     Total Time  Avg Time    Total Time  Avg Time    % of Active Time  |
|                                                   w/o Sub     w/o Sub     With Sub    With Sub    w/o S    With S   |
|---------------------------------------------------------------------------------------------------------------------|
|                                                                                                                     |
|                                                                                                                     |
| DofMap                                                                                                              |
|   add_neighbors_to_send_list()         1          0.0001      0.000136    0.0001      0.000136    0.19     0.19     |
|   build_constraint_matrix_and_vector() 216        0.0008      0.000004    0.0008      0.000004    1.11     1.11     |
|   build_sparsity()                     1          0.0027      0.002655    0.0028      0.002758    3.70     3.84     |
|   create_dof_constraints()             1          0.0049      0.004929    0.0357      0.035658    6.87     49.71    |
|   distribute_dofs()                    1          0.0002      0.000171    0.0009      0.000947    0.24     1.32     |
|   dof_indices()                        864        0.0005      0.000001    0.0005      0.000001    0.63     0.63     |
|   hetero_cnstrn_elem_mat_vec()         216        0.0025      0.000012    0.0025      0.000012    3.53     3.53     |
|   prepare_send_list()                  2          0.0000      0.000000    0.0000      0.000000    0.00     0.00     |
|   reinit()                             1          0.0008      0.000776    0.0008      0.000776    1.08     1.08     |
|                                                                                                                     |
| EquationSystems                                                                                                     |
|   build_solution_vector()              1          0.0005      0.000461    0.0006      0.000611    0.64     0.85     |
|                                                                                                                     |
| ExodusII_IO                                                                                                         |
|   write_nodal_data()                   1          0.0023      0.002268    0.0023      0.002268    3.16     3.16     |
|                                                                                                                     |
| FE                                                                                                                  |
|   compute_shape_functions()            1224       0.0069      0.000006    0.0069      0.000006    9.58     9.58     |
|   init_shape_functions()               1009       0.0003      0.000000    0.0003      0.000000    0.40     0.40     |
|   inverse_map()                        2376       0.0070      0.000003    0.0070      0.000003    9.77     9.77     |
|                                                                                                                     |
| FEMap                                                                                                               |
|   compute_affine_map()                 1224       0.0025      0.000002    0.0025      0.000002    3.53     3.53     |
|   compute_edge_map()                   792        0.0002      0.000000    0.0002      0.000000    0.32     0.32     |
|   compute_face_map()                   216        0.0003      0.000002    0.0003      0.000002    0.47     0.47     |
|   init_edge_shape_functions()          792        0.0004      0.000000    0.0004      0.000000    0.54     0.54     |
|   init_face_shape_functions()          216        0.0012      0.000006    0.0012      0.000006    1.72     1.72     |
|   init_reference_to_physical_map()     1009       0.0162      0.000016    0.0162      0.000016    22.63    22.63    |
|                                                                                                                     |
| Mesh                                                                                                                |
|   find_neighbors()                     1          0.0005      0.000509    0.0005      0.000509    0.71     0.71     |
|   renumber_nodes_and_elem()            2          0.0000      0.000021    0.0000      0.000021    0.06     0.06     |
|                                                                                                                     |
| MeshOutput                                                                                                          |
|   write_equation_systems()             1          0.0000      0.000021    0.0029      0.002900    0.03     4.04     |
|                                                                                                                     |
| MeshTools::Generation                                                                                               |
|   build_cube()                         1          0.0004      0.000381    0.0004      0.000381    0.53     0.53     |
|                                                                                                                     |
| Parallel                                                                                                            |
|   allgather()                          1          0.0000      0.000000    0.0000      0.000000    0.00     0.00     |
|                                                                                                                     |
| Partitioner                                                                                                         |
|   single_partition()                   1          0.0000      0.000041    0.0000      0.000041    0.06     0.06     |
|                                                                                                                     |
| PetscLinearSolver                                                                                                   |
|   solve()                              1          0.0078      0.007762    0.0078      0.007762    10.82    10.82    |
|                                                                                                                     |
| System                                                                                                              |
|   assemble()                           1          0.0127      0.012692    0.0214      0.021406    17.69    29.84    |
 ---------------------------------------------------------------------------------------------------------------------
| Totals:                                10172      0.0717                                          100.00            |
 ---------------------------------------------------------------------------------------------------------------------

 
***************************************************************
* Done Running Example introduction_ex4:
*   example-opt -d 3 -n 6 
***************************************************************
</pre>
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